Mathematical System: Postulate

Mathematical System: Postulate

EXPECTATION:

1. Illustrate the need for an axiomatic structure of a mathematical system in general, and particularly the postulates on geometry.

2. Illustrate a postulate

3. Identify the postulate

4. Justify a given statement by a postulate

Open Ended

Tell whether the given statement is TRUE or FALSE

_____1. Two points are always collinear

_____2. Any three points are always coplanar.

_____3. Two planes intersect at a point.

_____4. Postulates are used to prove theorems.

_____5. There is exactly two lines through points R and T.

Complete the crossword puzzle

Across

1. Coplanar lines that do not intersect

4. a figute formed by two rays with the common endpoint.

Down:

2. points or lines lying on the same plane

3. points in a line segment equidistant from both ends

Open Ended

Activity 1 LET'S PRACTICE
Direction: Complete the following given statements.
1. All rights angles are _______
2. Three non-collinear points determine a ______.
3. The intersection of two planes is a ______.
4. Any ____ points are collinear.
5. A ______ is a statement which is assumed to be true without proof.